Middle School

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What is the answer for [tex]x^2 \times x^9[/tex]?

Answer :

Answer:

x^11

Step-by-step explanation:

When multiplying powered numbers the powers add together - when dividing powered numbers you sub the powers.

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Rewritten by : Barada

The answer to multiplying x² by x⁹ is x¹¹.

The question is asking to multiply two powers of the same base, specifically x² and x⁹. When multiplying powers with the same base, you can simply add the exponents. This rule comes from the properties of exponents, and can be seen in the example of 5¹ × 5¹, which equals 5², because 1+1=2. Therefore, following this rule, x² × x⁹ = x²⁹, which simplifies to x¹¹. This follows the exponent rule x⁴×x⁵ = x⁴+5.